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February 4, 2020 23:11
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ARK Core v.2.6 / BCrypto v.4.1.0 / BCH Schnorr Implementation for the Ledger Nano SDK
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| /******************************************************************************* | |
| * This file is part of the ARK Ledger App. | |
| * | |
| * Copyright (c) ARK Ecosystem <[email protected]> | |
| * | |
| * The MIT License (MIT) | |
| * | |
| * Permission is hereby granted, free of charge, to any person obtaining a copy | |
| * of this software and associated documentation files (the "Software"), to | |
| * deal in the Software without restriction, including without limitation the | |
| * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or | |
| * sell copies of the Software, and to permit persons to whom the Software is | |
| * furnished to do so, subject to the following conditions: | |
| * | |
| * The above copyright notice and this permission notice shall be included in | |
| * all copies or substantial portions of the Software. | |
| * | |
| * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | |
| * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | |
| * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | |
| * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | |
| * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | |
| * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | |
| * SOFTWARE. | |
| * | |
| ******************************************************************************/ | |
| #include "schnorr_bcrypto_410.h" | |
| #include <stdint.h> | |
| #include <string.h> | |
| #include <os.h> | |
| #include <cx.h> | |
| // #include "constants.h" | |
| #define HASH_32_LEN 32 | |
| #define SIG_SCHNORR_LEN 64 | |
| #define PUBLICKEY_COMPRESSED_LEN 33 | |
| #define PUBLICKEY_UNCOMPRESSED_LEN 65 | |
| unsigned int d_len = HASH_32_LEN; | |
| unsigned int sig_len = SIG_SCHNORR_LEN; | |
| static unsigned char const SECP256K1_G[] = { | |
| // Gx: 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 | |
| 0x79, 0xbe, 0x66, 0x7e, 0xf9, 0xdc, 0xbb, 0xac, | |
| 0x55, 0xa0, 0x62, 0x95, 0xce, 0x87, 0x0b, 0x07, | |
| 0x02, 0x9b, 0xfc, 0xdb, 0x2d, 0xce, 0x28, 0xd9, | |
| 0x59, 0xf2, 0x81, 0x5b, 0x16, 0xf8, 0x17, 0x98, | |
| // Gy: 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8 | |
| 0x48, 0x3a, 0xda, 0x77, 0x26, 0xa3, 0xc4, 0x65, | |
| 0x5d, 0xa4, 0xfb, 0xfc, 0x0e, 0x11, 0x08, 0xa8, | |
| 0xfd, 0x17, 0xb4, 0x48, 0xa6, 0x85, 0x54, 0x19, | |
| 0x9c, 0x47, 0xd0, 0x8f, 0xfb, 0x10, 0xd4, 0xb8 }; | |
| static unsigned char const SECP256K1_N[] = { | |
| // n: 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 | |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, | |
| 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, | |
| 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41 }; | |
| static unsigned char const SECP256K1_P [] = { | |
| //p: 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f | |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
| 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f }; | |
| static unsigned char const SECP256K1_ONE[] = { | |
| // ONE: 0x0000000000000000000000000000000000000000000000000000000000000001 | |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, | |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, | |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, | |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01 }; | |
| //////////////////////////////////////////////////////////////////////////////// | |
| // SECP256K1 Prime Residual Exponent | |
| // | |
| // - ((p - 1) / 2) % p | |
| // | |
| // The Prime(SECP256K1_P) will always be the same in this implementation; | |
| // we can save lots of overhead pre-calculating the residual exponent. | |
| // | |
| // (fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f) - 1) / | |
| // 0000000000000000000000000000000000000000000000000000000000000002 = | |
| // 7fffffffffffffffffffffffffffffffffffffffffffffffffffffff7ffffe17 | |
| // | |
| // --- | |
| static unsigned char const SECP256K1_RES_EXP[] = { | |
| // residual exponent: 7fffffffffffffffffffffffffffffffffffffffffffffffffffffff7ffffe17 | |
| 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, | |
| 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, | |
| 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, | |
| 0xFF, 0xFF, 0xFF, 0xFF, 0x7F, 0xFF, 0xFE, 0x17 }; | |
| //////////////////////////////////////////////////////////////////////////////// | |
| // Check if a Points 'Y' coordinate is a quadratic residue of SECP256K1_P | |
| // | |
| // Point: must be an uncompressed curve-point (0x04, x[32].., y[32]..)[65] | |
| // | |
| // Prime: The SECP256K1 Prime number | |
| // - fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f | |
| // | |
| // 0: iff result != 1 | |
| // 1: iff result == 1 | |
| // | |
| // --- | |
| static int hasQuadY(const uint8_t *point) { | |
| unsigned WIDE char result[HASH_32_LEN]; | |
| // result = pow(point.y, exponent, prime) | |
| cx_math_powm(result, | |
| point + 1 + HASH_32_LEN, SECP256K1_RES_EXP, HASH_32_LEN, | |
| SECP256K1_P, HASH_32_LEN); | |
| return cx_math_cmp(result, SECP256K1_ONE, 32) == 0; // (result == 1) | |
| } | |
| //////////////////////////////////////////////////////////////////////////////// | |
| // Generate a Schnorr Signature | |
| // | |
| // BCrypto v.4.1.0 / BCH Implementation | |
| // - https://github.com/bcoin-org/bcrypto/tree/cd3703d825567a16ea78d2bb10195d0122dc59bd | |
| // | |
| // | |
| // @param [in] privateKey: must be 32-bytes in length. | |
| // - uint8_t[32] | |
| // | |
| // @param [in] hash: must be 32-bytes in length. | |
| // - uint8_t[32] | |
| // | |
| // @param [out] signature | |
| // - uint8_t[64] | |
| // | |
| // | |
| // Assumptions: | |
| // | |
| // - Capitalized variables denote an uncompressed Curve Point in affine coordinates. | |
| // - X = (0x04, x[32].., y[32]..) | |
| // | |
| // - Lower-case variables denote a 32-byte scalar. | |
| // - x = uint8_t[32] | |
| // | |
| // - Let `H` be a cryptographic hash function. | |
| // - Let `m` be a 32-byte array. | |
| // - Let `a` be a secret non-zero scalar. | |
| // - k != 0. | |
| // | |
| // Computation: | |
| // | |
| // k = H(a, m) mod n | |
| // R = G * k | |
| // A = G * a | |
| // k = -k mod n, if y(R) is not square | |
| // e = H( R.x, A, m) mod n | |
| // s = (k + e * a) mod n | |
| // S = (r, s) | |
| // | |
| // --- | |
| uint32_t schnorr_sign_bcrypto_410(const uint8_t *privateKey, | |
| const uint8_t *hash, | |
| uint8_t *signature) { | |
| //////////////////////////////////////////////////////////// | |
| // Local vars | |
| cx_sha256_t H; | |
| unsigned WIDE char a[HASH_32_LEN]; | |
| unsigned WIDE char k[HASH_32_LEN]; | |
| unsigned WIDE char R[PUBLICKEY_UNCOMPRESSED_LEN]; | |
| unsigned WIDE char A[PUBLICKEY_UNCOMPRESSED_LEN]; | |
| unsigned WIDE char e[HASH_32_LEN]; | |
| unsigned int d_len = HASH_32_LEN; | |
| unsigned int sig_len = SIG_SCHNORR_LEN; | |
| //////////////////////////////////////////////////////////// | |
| // Construct the Base-Point (G) | |
| unsigned WIDE char G[PUBLICKEY_UNCOMPRESSED_LEN]; | |
| G[0] = 0x04; | |
| os_memcpy(G + 1, SECP256K1_G, HASH_64_LEN); | |
| //////////////////////////////////////////////////////////// | |
| // Copy the privateKey | |
| os_memcpy(a, privateKey, d_len); | |
| // a' (privateKey) must be an integer in the range [1..n-1] | |
| if (cx_math_is_zero(a, d_len) || | |
| cx_math_cmp(a, SECP256K1_N, d_len) > 0) { | |
| sig_len = 0; | |
| goto CLEAR_LOCALS; | |
| } | |
| //////////////////////////////////////////////////////////// | |
| // k' = H( d || m ) | |
| cx_sha256_init(&H); | |
| cx_hash((cx_hash_t *) &H, 0, a, d_len, NULL, 0); | |
| cx_hash((cx_hash_t *) &H, CX_LAST | CX_NO_REINIT, hash, d_len, k, d_len); | |
| // k' must not be '0' | |
| if (cx_math_is_zero(k, d_len)) { | |
| sig_len = 0; | |
| goto CLEAR_LOCALS; | |
| } | |
| //////////////////////////////////////////////////////////// | |
| // R = G * k0' | |
| os_memcpy(R, G, sizeof(G)); | |
| cx_ecfp_scalar_mult(CX_CURVE_SECP256K1, R, sizeof(R), k, d_len); | |
| os_memcpy(signature, R + 1, d_len); | |
| // R must not be '0' | |
| if (cx_math_is_zero(signature, d_len)) { | |
| explicit_bzero(&signature, SIG_SCHNORR_LEN); | |
| sig_len = 0; | |
| goto CLEAR_LOCALS; | |
| } | |
| //////////////////////////////////////////////////////////// | |
| // A = G * a' | |
| os_memcpy(A, G, sizeof(G)); | |
| cx_ecfp_scalar_mult(CX_CURVE_SECP256K1, A, sizeof(A), a, d_len); | |
| // Compress 'A' | |
| A[0] = (A[PUBLICKEY_COMPRESSED_LEN] & 1) == 1 ? 0x03 : 0x02; | |
| //////////////////////////////////////////////////////////// | |
| // e = H( R.x || A.x || m ) mod n | |
| cx_sha256_init(&H); | |
| cx_hash((cx_hash_t *) &H, 0, signature, d_len, NULL, 0); | |
| cx_hash((cx_hash_t *) &H, 0, A, PUBLICKEY_COMPRESSED_LEN, NULL, 0); | |
| cx_hash((cx_hash_t *) &H, CX_LAST | CX_NO_REINIT, hash, d_len, e, d_len); | |
| cx_math_modm(e, d_len, SECP256K1_N, d_len); | |
| //////////////////////////////////////////////////////////// | |
| // a' %= n | |
| cx_math_modm(a, d_len, SECP256K1_N, d_len); | |
| //////////////////////////////////////////////////////////// | |
| // k0' %= n | |
| cx_math_modm(k, d_len, SECP256K1_N, d_len); | |
| //////////////////////////////////////////////////////////// | |
| // k' = n - k0' if not is_quad(R.y) else k0' | |
| if (!hasQuadY(R)) { | |
| cx_math_sub(k, SECP256K1_N, k, d_len); | |
| } | |
| //////////////////////////////////////////////////////////// | |
| // s' = (k' + e' * a') mod n | |
| cx_math_multm(e, e, a, SECP256K1_N, d_len); | |
| cx_math_addm(signature + d_len, k, e, SECP256K1_N, d_len); | |
| if (cx_math_is_zero(signature + d_len, d_len)) { | |
| explicit_bzero(signature, SIG_SCHNORR_LEN); | |
| sig_len = 0; | |
| } | |
| //////////////////////////////////////////////////////////// | |
| CLEAR_LOCALS: | |
| explicit_bzero((void *)&H, sizeof(H)); | |
| explicit_bzero(&a, sizeof(a)); | |
| explicit_bzero(&k, sizeof(k)); | |
| explicit_bzero(&R, sizeof(R)); | |
| explicit_bzero(&A, sizeof(A)); | |
| explicit_bzero(&e, sizeof(e)); | |
| return sig_len; | |
| } |
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| /******************************************************************************* | |
| * This file is part of the ARK Ledger App. | |
| * | |
| * Copyright (c) ARK Ecosystem <[email protected]> | |
| * | |
| * The MIT License (MIT) | |
| * | |
| * Permission is hereby granted, free of charge, to any person obtaining a copy | |
| * of this software and associated documentation files (the "Software"), to | |
| * deal in the Software without restriction, including without limitation the | |
| * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or | |
| * sell copies of the Software, and to permit persons to whom the Software is | |
| * furnished to do so, subject to the following conditions: | |
| * | |
| * The above copyright notice and this permission notice shall be included in | |
| * all copies or substantial portions of the Software. | |
| * | |
| * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | |
| * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | |
| * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | |
| * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | |
| * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | |
| * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | |
| * SOFTWARE. | |
| * | |
| ******************************************************************************/ | |
| #ifndef ARK_CRYPTO_SCHNORR_BCRYPTO_410_H | |
| #define ARK_CRYPTO_SCHNORR_BCRYPTO_410_H | |
| #include <stdint.h> | |
| //////////////////////////////////////////////////////////////////////////////// | |
| uint32_t schnorr_sign_bcrypto_410(const uint8_t *privateKey, | |
| const uint8_t *hash, | |
| uint8_t *signature); | |
| #endif // ARK_CRYPTO_SCHNORR_BCRYPTO_410_H |
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